At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Format the following question or task so that it is easier to read.
Fix any grammar or spelling errors.
Remove phrases that are not part of the question.
Do not remove or change LaTeX formatting.
Do not change or remove [tex] [/tex] tags.
If the question is nonsense, rewrite it so that it makes sense.
-----
[tex]\[
\frac{2}{4} + \frac{3}{6} + \left[\frac{4}{2} + \left\{\frac{2}{4} - \left(\frac{3}{4} + \frac{2}{4}\right)\right\}\right]
\][/tex]
-----

Response:
[tex]\[
\frac{2}{4} + \frac{3}{6} + \left[\frac{4}{2} + \left\{\frac{2}{4} - \left(\frac{3}{4} + \frac{2}{4}\right)\right\}\right]
\][/tex]


Sagot :

Sure, let's solve the given mathematical expression step-by-step. The expression is:

[tex]\[ \frac{2}{4}+\frac{3}{6}+\left[\frac{4}{2}+\left\{\frac{2}{4}-\left(\frac{3}{4}+\frac{2}{4}\right)\right\}\right] \][/tex]

Let's break it down and solve it step by step:

1. Calculate individual fractions:
[tex]\[ \frac{2}{4} = 0.5 \][/tex]
[tex]\[ \frac{3}{6} = 0.5 \][/tex]
[tex]\[ \frac{4}{2} = 2.0 \][/tex]
[tex]\[ \frac{2}{4} = 0.5 \][/tex]
[tex]\[ \frac{3}{4} = 0.75 \][/tex]
[tex]\[ \frac{2}{4} = 0.5 \][/tex]

2. Calculate the innermost parentheses:
[tex]\[ \left(\frac{3}{4} + \frac{2}{4}\right) = 0.75 + 0.5 = 1.25 \][/tex]

3. Now, calculate the expression inside the curly brackets:
[tex]\[ \frac{2}{4} - 1.25 = 0.5 - 1.25 = -0.75 \][/tex]

4. Next, calculate the expression inside the square brackets:
[tex]\[ \frac{4}{2} + (-0.75) = 2.0 - 0.75 = 1.25 \][/tex]

5. Finally, sum all the results:
[tex]\[ \frac{2}{4} + \frac{3}{6} + \left(1.25\right) = 0.5 + 0.5 + 1.25 = 2.25 \][/tex]

So, the step-by-step solution for the expression [tex]\(\frac{2}{4}+\frac{3}{6}+\left[\frac{4}{2}+\left\{\frac{2}{4}-\left(\frac{3}{4}+\frac{2}{4}\right)\right\}\right]\)[/tex] is [tex]\(2.25\)[/tex].
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.